Numerical integration of homogeneous functions on convex and nonconvex polygons and polyhedra

A weak Galerkin finite element method with polynomial reduction

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The Finite Cell Method: A Review in the Context of Higher-Order Structural Analysis of CAD and Image-Based Geometric Models

(2014) Dominik Schillinger et al.   ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING

An accurate, robust, and easy-to-implement method for integration over arbitrary polyhedra: Application to embedded interface methods

(2014) Y. Sudhakar et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Quadrature schemes for arbitrary convex/concave volumes and integration of weak form in enriched partition of unity methods

(2013) Y. Sudhakar et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Software for exact integration of polynomials over polyhedra

(2012) J.A. De Loera et al.   COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS

BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS

(2012) L. BEIRÃO DA VEIGA et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Numerical integration of polynomials and discontinuous functions on irregular convex polygons and polyhedrons

(2010) S. E. Mousavi et al.   COMPUTATIONAL MECHANICS

How to integrate a polynomial over a simplex

(2010) Velleda Baldoni et al.   MATHEMATICS OF COMPUTATION